post grouped by category

hi,
I’d just like to have post grouped by category –
I found this nice wordpress loop
https://rhymedcode.net/1001-wordpression-loops/grouped-by-category/

it works, but the name of the category is hardcoded –
do you think that it’s possible to do something like this authomatically?
that is, to have, for every category, something like
-name of the category
-list of post

thank you
ale